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Finding the Fourth Proportional to 7,250.51, 10,002.12 and 4,564.95

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Solution

The fourth proportional to 7,250.51, 10,002.12 and 4,564.95 is: 6,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,250.51 : 10,002.12 = 4,564.95 : x
  2. Step 2: Convert to fraction form
    7,250.51/10,002.12 = 4,564.95/x
  3. Step 3: Cross multiply
    7,250.51x = 10,002.12 × 4,564.95
  4. Step 4: Simplify right side
    7,250.51x = 45,659,177.69
  5. Step 5: Solve for x
    x = 45,659,177.69/7,250.51
  6. Step 6: Final answer
    x = 6,297.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.